Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 4812, 7292 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 4812, 7292 is 4 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 4812, 7292 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 4812, 7292 is 4.
HCF(4812, 7292) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4812, 7292 is 4.
Step 1: Since 7292 > 4812, we apply the division lemma to 7292 and 4812, to get
7292 = 4812 x 1 + 2480
Step 2: Since the reminder 4812 ≠ 0, we apply division lemma to 2480 and 4812, to get
4812 = 2480 x 1 + 2332
Step 3: We consider the new divisor 2480 and the new remainder 2332, and apply the division lemma to get
2480 = 2332 x 1 + 148
We consider the new divisor 2332 and the new remainder 148,and apply the division lemma to get
2332 = 148 x 15 + 112
We consider the new divisor 148 and the new remainder 112,and apply the division lemma to get
148 = 112 x 1 + 36
We consider the new divisor 112 and the new remainder 36,and apply the division lemma to get
112 = 36 x 3 + 4
We consider the new divisor 36 and the new remainder 4,and apply the division lemma to get
36 = 4 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4812 and 7292 is 4
Notice that 4 = HCF(36,4) = HCF(112,36) = HCF(148,112) = HCF(2332,148) = HCF(2480,2332) = HCF(4812,2480) = HCF(7292,4812) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 4812, 7292?
Answer: HCF of 4812, 7292 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4812, 7292 using Euclid's Algorithm?
Answer: For arbitrary numbers 4812, 7292 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.